How to Find Fractions Equivalent to 10/31
1. Choose a multiplier
Use the same non-zero number for both terms; start with 2.
2. Multiply both terms
10 × 2 = 20 and 31 × 2 = 62.
3. Verify the ratio
10 × 62 and 31 × 20 both equal 620.
Direct answer
20/62, 30/93, and 40/124 are equivalent to 10/31.
Enter whole-number numerator and denominator values. Results update instantly.
10/31
0.322581…
32.258065%
20/62 · 30/93 · 40/124
Use the same non-zero number for both terms; start with 2.
10 × 2 = 20 and 31 × 2 = 62.
10 × 62 and 31 × 20 both equal 620.
Multiply the numerator and denominator by the same non-zero whole number. The written numbers change, but the ratio stays equal.
| Multiplier | Calculation | Equivalent fraction | Cross-product check |
|---|---|---|---|
| × 2 | (10 × 2) / (31 × 2) | 20/62 | 10 × 62 = 31 × 20 |
| × 3 | (10 × 3) / (31 × 3) | 30/93 | 10 × 93 = 31 × 30 |
| × 4 | (10 × 4) / (31 × 4) | 40/124 | 10 × 124 = 31 × 40 |
| × 5 | (10 × 5) / (31 × 5) | 50/155 | 10 × 155 = 31 × 50 |
| × 6 | (10 × 6) / (31 × 6) | 60/186 | 10 × 186 = 31 × 60 |
| × 7 | (10 × 7) / (31 × 7) | 70/217 | 10 × 217 = 31 × 70 |
This fraction is a practical example for comparing proportions, probabilities, ratios, and parts of a collection.
Learning tip: Check your decimal by multiplying it by the denominator; the result should return the numerator.
20/62 is one equivalent fraction because both terms were multiplied by 2.
Yes. 10/31 is in lowest terms because its terms share no factor greater than 1.
Cross-multiply. If the two cross-products are equal, the fractions represent the same value.
10/31 equals 0.322581… as a decimal and 32.258065% as a percentage.